Mixed Twistor D-modules

• Main Author: Mochizuki, Takuro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Lecture Notes in Mathematics, 2125
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Algebraic Geometry.

We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed H...

Table of Contents:

• Introduction
• Preliminary
• Canonical prolongations
• Gluing and specialization of r-triples
• Gluing of good-KMS r-triples
• Preliminary for relative monodromy filtrations
• Mixed twistor D-modules
• Infinitesimal mixed twistor modules
• Admissible mixed twistor structure and variants
• Good mixed twistor D-modules
• Some basic property
• Dual and real structure of mixed twistor D-modules
• Derived category of algebraic mixed twistor D-modules
• Good systems of ramified irregular values.